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<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="pscomp_1.html#NM1">RealMap</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>

<b>assume </b><a NAME="E1:103_1_1"/><i><font color="Green">E64</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="pscomp_1.html#V9" target="_self">continuous</a>
 ;<br/>

<b>hence </b><a NAME="E2:103_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="seq_2.html#V3">bounded</a>
 <b>by </b><i><a class="ref" href="pscomp_1.html#D27" target="_self">Def27</a></i>;<br/>

<a NAME="E3:103_1_1"/><i><font color="Green">E65</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="pscomp_1.html#NM1">RealMap</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> is <a href="pscomp_1.html#V9" target="_self">continuous</a> holds <br/><font color="Olive">b<sub>1</sub></font> is <a href="seq_2.html#V3">bounded</a>
 
<b>by </b><i><a class="ref" href="pscomp_1.html#D27" target="_self">Def27</a></i>;<br/>
<a NAME="E4:103_1_1"/><b>then </b><i><font color="Green">E66</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="pscomp_1.html#NM1">RealMap</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> is <a href="pscomp_1.html#V9" target="_self">continuous</a> holds <br/><font color="Olive">b<sub>1</sub></font> is <a href="pscomp_1.html#V7" target="_self">with_max</a>
 
<b>by </b><i><a class="ref" href="pscomp_1.html#T61" target="_self">Th61</a></i>;<br/>
<b>thus </b><a NAME="E5:103_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="pscomp_1.html#V7" target="_self">with_max</a>
 <b>by </b><i><a class="txt" href="pscomp_1.html#E1:103_1_1"><i><font color="Green">E64</font></i></a>, <a class="txt" href="pscomp_1.html#E3:103_1_1"><i><font color="Green">E65</font></i></a>, <a class="ref" href="pscomp_1.html#T61" target="_self">Th61</a></i>;<br/>

<b>thus </b><a NAME="E6:103_1_1"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="pscomp_1.html#V8" target="_self">with_min</a>
 <b>by </b><i><a class="txt" href="pscomp_1.html#E1:103_1_1"><i><font color="Green">E64</font></i></a>, <a class="txt" href="pscomp_1.html#E4:103_1_1"><i><font color="Green">E66</font></i></a>, <a class="ref" href="pscomp_1.html#T60" target="_self">Th60</a></i>;<br/>


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